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Finding the Fourth Proportional to 3,246.53, 4,480.64 and 1,830.49

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Solution

The fourth proportional to 3,246.53, 4,480.64 and 1,830.49 is: 2,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.53 : 4,480.64 = 1,830.49 : x
  2. Step 2: Convert to fraction form
    3,246.53/4,480.64 = 1,830.49/x
  3. Step 3: Cross multiply
    3,246.53x = 4,480.64 × 1,830.49
  4. Step 4: Simplify right side
    3,246.53x = 8,201,766.71
  5. Step 5: Solve for x
    x = 8,201,766.71/3,246.53
  6. Step 6: Final answer
    x = 2,526.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.